The line that is perpendicular to the given line, is:
y = (-3/2)*x + 7
How to get the perpendicular line?
Remember that two lines are perpendicular if the slope of one is equal to the opposite of the inverse of the other slope.
Here we start with the line:
y = (2/3)*x + 3
So the slope is 2/3.
The opposite of the inverse of that would be -(3/2). Then any line with a slope of -3/2 will be perpendicular to the given line. So we conclude that the correct option is:
Y = -(3/2)x+7
If you want to learn more about perpendicular lines:
https://brainly.com/question/7098341
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